Answer:
2916 pi ft
Step-by-step explanation:
Area of a circle: pi r ^2
54^2 = 2916
Hope this helps!
Simplify Complex fraction
1/4 +x
___________= what
1/2
Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
Can someone please help me with these two questions?
Answer:
1) Part A
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
2626 people
Part C
1575 people
2) Part A
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The value of the hose in 2025 is approximately $208,472.6
Part C
The value of the hose in 2032 is approximately $135,189.8
Step-by-step explanation:
1) Part A
The given parameters are;
Martianville population in 2012, P₀ = 8,300 people
The percentage annual decrease in the population, r = -12% = -0.12
The formula for the growth of a population is presented as follows;
P = P₀·(1 + r)ⁿ
Where;
P = The population amount at a later time
P₀ = The initial amount of the population
r = The rate of the population growth
n = The number of years
Therefore;
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
The population that will attend Martianville in 9 years is given as follows;
P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77
Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people
Part C
The population that will attend Martianville in 13 years is given as follows;
P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people
2) Part A
The price at which the house was bought, A₀ = $342,000
The rate of decrease of the value of the house = 6% therefore, r = -0.06
The function that models the situation is presented as follows;
A = A₀·(1 + r)ⁿ
Therefore;
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The number of years between 2025 and 2017 = 2025 - 2017 = 8 years
The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981
The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6
Part C
The number of years between 2032 and 2017 = 2032 - 2017 = 15 years
The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176
The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8
Use the distance formula to find the distance between the points
(-4,-4) and (4, 4).
Answer:
[tex]\displaystyle d = 8\sqrt{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -4)
Point (4, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(4+4)^2+(4+4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(8)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{128}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 8\sqrt{2}[/tex]Find the value of x?
Answer:
Step-by-step explanation:
6) Number of sides = n = 7
Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180
= 900
x + 125 + 119 + 117 +145+133 +140 = 900
x + 779 = 900
x = 900 - 779
x = 121
7) Number of sides = n = 5
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 3 *180 = 540
90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540
90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
8) Number of sides = n = 8
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 6*180
= 1080
This is a regular polygon (All sides are equal). so all the angles are equal.
One angle = 1080 ÷ 8 = 135
16x +23 = 135
16x = 135 - 23
16x = 112
x = 112/16
x = 7
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm. Answer ASAP!
Answer:
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³Answer: 498.96 cm³
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³
Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³
Pleaseeeeeeeeeeeeeeeeeeee helppppppppppppppp
At the end of Quarter 1, Winston’s math grade was a 72. He made a goal to improve his grade for Quarter 2 by focusing more in class and on homework. At the end of Quarter 2, Winston’s grade increased to an 80.
By what percent did Winston’s grade improve? show your work!
Answer:
8%
Step-by-step explanation:
The reason why is his grade is 72% right and it increased to 80%.
Subtract 80 from 72 which equals 8.
HELP I HAVE THIS ASSIGHMENT DUE IN 30 MINUTES
Answer:
C
Step-by-step explanation:
p-2>6
add 2 both sides
p >8
p can only be greater than 8, and not equal to it, so the circle is open
MNOP is a trapezoid with median QR. Find x.
Answer:
D. x = 7
Step-by-step explanation:
Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem
Thus:
QR = ½(NO + MP)
QR = 14
NO = 8
MP = 2x + 6
Plug in the values into the equation
14 = ½(8 + 2x + 6)
14 × 2 = ½(8 + 2x + 6)×2
28 = 8 + 2x + 6
28 = 14 + 2x
28 - 14 = 14 + 2x - 14
14 = 2x
14/2 = 2x/2
7 = x
x = 7
Write the slope intercept equation for the following table
Step-by-step explanation:
m = y2-y1/X2-X1
slope intercept equation is: y=Mx+b
The slope is based on the formula m and from there pick any points then do the forumla m to find the slope. Anything that have 0 as the X is b which is the y intercept.
Your answer would be
Slope: 2
y-intercept: 7
Answer: y=2x+7
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answer:
es la a. 5+8 es esa amigo la respuesta
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
What is -3/11 divided by -5/6
Answer:
0.00909090909
Step-by-step explanation:
If a person in a wheelchair wanted to get to the second story of a two-story building, would it be easier to take a short, steep ramp or a long, shallow ramp?
Answer:
the long one because of the friction and you can gain speed the second way
Step-by-step explanation:
If JG=JF,GD=13, and mCD=136, find each measure.
Answer:
[tex]ED = 26[/tex]
[tex]CF = 13[/tex]
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Step-by-step explanation:
Given
[tex]JG = JF[/tex]
[tex]GD = 13[/tex]
[tex]m \overset{\huge\frown}{CD} = 136[/tex]
See attachment for circle
Solving (a): Length ED
Line JD divides ED into two equal parts, EG and DG.
So:
[tex]ED = EG + GD[/tex]
[tex]ED = GD + GD[/tex]
[tex]ED = 13 + 13[/tex]
[tex]ED = 26[/tex]
Solving (b): Length CF
CF is a reflection of EG.
So:
[tex]CF = EG[/tex]
[tex]EG = GD = 13[/tex]
So:
[tex]CF = 13[/tex]
Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]
Since ED = CD;
Then:
[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]
So:
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]
Line HF divides CD to 2 equal parts
So:
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]
[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.
So:
[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]
[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]
Collect like terms
[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:
Given value:[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]
When
[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]
[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]
SO,
[tex]CF = FD \\\\EG=ED \\\\[/tex]
[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]
[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]
Using the Vertical theorem and Theorem of the length of tangent to calculate the value:
[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]
Note:
The given question is incomplete that's why we defined the question in the attached file and then solve it.
Find out more information about the arc of the circle here:
brainly.com/question/1577784
44 * 9678 I will mark brainliest
Answer:
=425832
Step-by-step explanation:
i hope this helps :)
Answer:
425832
Step-by-step explanation:
I was trying as well gg
2x + Y=8
Me podrían ayudar a resolverla por favor
Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?
Mia had $32. Then she started to receive $5 a week as an allowance. She plans to save all of her money for a bicycle and draws a graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
A. (2,64)
B. (1 ,32)
C. (4 , 52)
D.(6 , 30 )
Answer:
4,52
Step-by-step explanation:
32+5x=y
pls let me know is it was right
if it was pls give brainlest
2b +4= -8
29 - 6 = 4
3s – 4= 8
can some one pls help me with these 3 question pls
Answer: 2b+4=-8 the answer is -6
Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem
I do not understand this may I get help?
Answer:
b
Step-by-step explanation:
the y axis is the axis going up and down, so the reflection would be on the other side of the axis.
Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.
Answer:
6 trips in total..,.............
Answer:
5
Step-by-step explanation:
Give me 3 reasons why the penguins are the best animal will give brain-list
Answer:
Step-by-step explanation:
#1 - they look cool
#2 - they can swim
#3 - they eat fish
please help thank youuuuu
Answer:
Y=3x-1
Step-by-step explanation:
Let x =1 then ,Y=(3×1)-1=2
Let x=2 then, Y=(3×2)-1=5
Let x=3 then Y=(3×3)-1=8
Let x=0 then Y=(3×0)-1=-1
Write the quadratic equation whose roots are −6 and 3, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)
Answer:
y= 4(x+6)(x-3)
Step-by-step explanation:
same as before :)
A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
I think the truck would be 210 inches long
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156
Answer:
150
Step-by-step explanation:
The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?
Answer:
49.65$
Step-by-step explanation:
(20.40 x 2) + 8.85 = 49.65 $
What is the length of the missing leg?
Jackie has a poster that is 8 inches wide by 11 long inches. She wants to enlarge it so that the length is 33 inches. What should the width be?
Answer:
it is 24inches
Step-by-step explanation:
33/11=3
3x8=24
I'll give you brainliest or something just help.
Answer:
C=25 (vertically opposite angle)
b=150 (linear pair)
d=150(vertically opposite angle)
Step-by-step explanation:
pls mark BRAINLIEST